3891628032 has 384 divisors, whose sum is σ = 12100233600. Its totient is φ = 1104150528.

The previous prime is 3891628031. The next prime is 3891628033. The reversal of 3891628032 is 2308261983.

It is an interprime number because it is at equal distance from previous prime (3891628031) and next prime (3891628033).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3891628031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73426918 + ... + 73426970.

It is an arithmetic number, because the mean of its divisors is an integer number (31511025).

Almost surely, 2^3891628032 is an apocalyptic number.

3891628032 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 3891628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050116800).

3891628032 is an abundant number, since it is smaller than the sum of its proper divisors (8208605568).

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

3891628032 is a wasteful number, since it uses less digits than its factorization.

3891628032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3891628032 is about 62382.9145840430. The cubic root of 3891628032 is about 1572.9337859962.

The spelling of 3891628032 in words is "three billion, eight hundred ninety-one million, six hundred twenty-eight thousand, thirty-two".