3958621632 has 784 divisors, whose sum is σ = 15351386112. Its totient is φ = 985374720.

The previous prime is 3958621619. The next prime is 3958621643. The reversal of 3958621632 is 2361268593.

3958621632 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 6 + 2 + 1 + 632 = 666.

Its product of digits (466560) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 127697457 + ... + 127697487.

Almost surely, 2^3958621632 is an apocalyptic number.

3958621632 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 3958621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675693056).

3958621632 is an abundant number, since it is smaller than the sum of its proper divisors (11392764480).

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

3958621632 is a wasteful number, since it uses less digits than its factorization.

3958621632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 3958621632 is about 62917.5780843478. The cubic root of 3958621632 is about 1581.9083963681.

The spelling of 3958621632 in words is "three billion, nine hundred fifty-eight million, six hundred twenty-one thousand, six hundred thirty-two".