3988513734975 has 192 divisors, whose sum is σ = 9615813120000. Its totient is φ = 1570323542400.

The previous prime is 3988513734941. The next prime is 3988513735009. The reversal of 3988513734975 is 5794373158893.

3988513734975 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 513 + 7 + 34 + 9 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (3988513734941) and next prime (3988513735009).

It is not a de Polignac number, because 3988513734975 - 2⁶ = 3988513734911 is a prime.

It is a super-4 number, since 4×3988513734975⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1031925 + ... + 3006974.

It is an arithmetic number, because the mean of its divisors is an integer number (50082360000).

Almost surely, 2^{3988513734975} is an apocalyptic number.

3988513734975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3988513734975 is an abundant number, since it is smaller than the sum of its proper divisors (5627299385025).

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

3988513734975 is a wasteful number, since it uses less digits than its factorization.

3988513734975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038955 (or 4038944 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 3988513734975 in words is "three trillion, nine hundred eighty-eight billion, five hundred thirteen million, seven hundred thirty-four thousand, nine hundred seventy-five".