3763640880 has 480 divisors, whose sum is σ = 14477823360. Its totient is φ = 870481920.

The previous prime is 3763640861. The next prime is 3763640887. The reversal of 3763640880 is 880463673.

3763640880 is a `hidden beast` number, since 3 + 7 + 636 + 4 + 0 + 8 + 8 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (3763640887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8163850 + ... + 8164310.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 2^3763640880 is an apocalyptic number.

3763640880 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 3763640880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

3763640880 is an abundant number, since it is smaller than the sum of its proper divisors (10714182480).

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

3763640880 is a wasteful number, since it uses less digits than its factorization.

3763640880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3763640880 is about 61348.5197865442. The cubic root of 3763640880 is about 1555.4977683597.

The spelling of 3763640880 in words is "three billion, seven hundred sixty-three million, six hundred forty thousand, eight hundred eighty".