3917149632 has 280 divisors, whose sum is σ = 12854434032. Its totient is φ = 1169510400.

The previous prime is 3917149609. The next prime is 3917149661. The reversal of 3917149632 is 2369417193.

3917149632 is a `hidden beast` number, since 3 + 9 + 1 + 7 + 1 + 4 + 9 + 632 = 666.

It is a super-2 number, since 2×3917149632² = 30688122478955470848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4162282 + ... + 4163222.

Almost surely, 2^3917149632 is an apocalyptic number.

3917149632 is a gapful number since it is divisible by the number (32) 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 3917149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427217016).

3917149632 is an abundant number, since it is smaller than the sum of its proper divisors (8937284400).

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

3917149632 is a wasteful number, since it uses less digits than its factorization.

3917149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1030 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3917149632 is about 62587.1363141021. The cubic root of 3917149632 is about 1576.3647707972.

The spelling of 3917149632 in words is "three billion, nine hundred seventeen million, one hundred forty-nine thousand, six hundred thirty-two".