3918546432 has 120 divisors (see below), whose sum is σ = 11801213424. Its totient is φ = 1249357824.

The previous prime is 3918546407. The next prime is 3918546433. The reversal of 3918546432 is 2346458193.

3918546432 is a `hidden beast` number, since 3 + 9 + 185 + 464 + 3 + 2 = 666.

It is a super-2 number, since 2×3918546432² = 30710012279479861248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918546433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87498 + ... + 124470.

Almost surely, 2^3918546432 is an apocalyptic number.

3918546432 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 3918546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900606712).

3918546432 is an abundant number, since it is smaller than the sum of its proper divisors (7882666992).

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

3918546432 is a wasteful number, since it uses less digits than its factorization.

3918546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37020 (or 37001 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3918546432 is about 62598.2941620616. The cubic root of 3918546432 is about 1576.5521183034.

The spelling of 3918546432 in words is "three billion, nine hundred eighteen million, five hundred forty-six thousand, four hundred thirty-two".