3951368820 has 648 divisors, whose sum is σ = 15794166024. Its totient is φ = 794271744.

The previous prime is 3951368783. The next prime is 3951368821. The reversal of 3951368820 is 288631593.

It is a happy number.

3951368820 is a `hidden beast` number, since 39 + 513 + 6 + 88 + 20 = 666.

3951368820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 919544976 + 3031823844 = 30324^2 + 55062^2 .

It is a super-2 number, since 2×3951368820² = 31226631103336384800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3951368821) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 54128304 + ... + 54128376.

It is an arithmetic number, because the mean of its divisors is an integer number (24373713).

Almost surely, 2^3951368820 is an apocalyptic number.

3951368820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3951368820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897083012).

3951368820 is an abundant number, since it is smaller than the sum of its proper divisors (11842797204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3951368820 is a wasteful number, since it uses less digits than its factorization.

3951368820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3951368820 is about 62859.9142538391. The cubic root of 3951368820 is about 1580.9417048143.

The spelling of 3951368820 in words is "three billion, nine hundred fifty-one million, three hundred sixty-eight thousand, eight hundred twenty".