3917552040 has 80 divisors (see below), whose sum is σ = 13167338580. Its totient is φ = 1044679680.

The previous prime is 3917552039. The next prime is 3917552053. The reversal of 3917552040 is 402557193.

3917552040 is a `hidden beast` number, since 3 + 91 + 7 + 5 + 520 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3917007396 + 544644 = 62586^2 + 738^2 .

It is a super-2 number, since 2×3917552040² = 30694427972216323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3917551986 and 3917552004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601321 + ... + 607800.

Almost surely, 2^3917552040 is an apocalyptic number.

3917552040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3917552040 is an abundant number, since it is smaller than the sum of its proper divisors (9249786540).

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

3917552040 is a wasteful number, since it uses less digits than its factorization.

3917552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209144 (or 1209131 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3917552040 is about 62590.3510135548. The cubic root of 3917552040 is about 1576.4187488283.

The spelling of 3917552040 in words is "three billion, nine hundred seventeen million, five hundred fifty-two thousand, forty".