3918100032 has 336 divisors, whose sum is σ = 14474911360. Its totient is φ = 1017308160.

The previous prime is 3918100031. The next prime is 3918100049. The reversal of 3918100032 is 2300018193.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3918099969 and 3918100005.

It is not an unprimeable number, because it can be changed into a prime (3918100031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462278 + ... + 1464954.

Almost surely, 2^3918100032 is an apocalyptic number.

3918100032 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 3918100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237455680).

3918100032 is an abundant number, since it is smaller than the sum of its proper divisors (10556811328).

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

3918100032 is a wasteful number, since it uses less digits than its factorization.

3918100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3918100032 is about 62594.7284681386. The cubic root of 3918100032 is about 1576.4922491994.

The spelling of 3918100032 in words is "three billion, nine hundred eighteen million, one hundred thousand, thirty-two".