3892629972 has 144 divisors (see below), whose sum is σ = 11640125952. Its totient is φ = 1001085120.

The previous prime is 3892629941. The next prime is 3892629973. The reversal of 3892629972 is 2799262983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892629973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663283 + ... + 669125.

It is an arithmetic number, because the mean of its divisors is an integer number (80834208).

Almost surely, 2^3892629972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3892629972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820062976).

3892629972 is an abundant number, since it is smaller than the sum of its proper divisors (7747495980).

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

3892629972 is a wasteful number, since it uses less digits than its factorization.

3892629972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5969 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 3892629972 is about 62390.9446314127. The cubic root of 3892629972 is about 1573.0687637855.

The spelling of 3892629972 in words is "three billion, eight hundred ninety-two million, six hundred twenty-nine thousand, nine hundred seventy-two".