3954862080 has 288 divisors, whose sum is σ = 14765685480. Its totient is φ = 973209600.

The previous prime is 3954862073. The next prime is 3954862157. The reversal of 3954862080 is 802684593.

3954862080 is a `hidden beast` number, since 3 + 9 + 548 + 6 + 20 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1857954816 + 2096907264 = 43104^2 + 45792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196430 + ... + 1199730.

Almost surely, 2^3954862080 is an apocalyptic number.

3954862080 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 3954862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382842740).

3954862080 is an abundant number, since it is smaller than the sum of its proper divisors (10810823400).

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

3954862080 is a wasteful number, since it uses less digits than its factorization.

3954862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3954862080 is about 62887.6941857467. The cubic root of 3954862080 is about 1581.4074517504.

The spelling of 3954862080 in words is "three billion, nine hundred fifty-four million, eight hundred sixty-two thousand, eighty".