3948969024 has 560 divisors, whose sum is σ = 15737774976. Its totient is φ = 945561600.

The previous prime is 3948968983. The next prime is 3948969043. The reversal of 3948969024 is 4209698493.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5188804 + ... + 5189564.

Almost surely, 2^3948969024 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 3948969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868887488).

3948969024 is an abundant number, since it is smaller than the sum of its proper divisors (11788805952).

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

3948969024 is a wasteful number, since it uses less digits than its factorization.

3948969024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3948969024 is about 62840.8229099524. The cubic root of 3948969024 is about 1580.6215874008.

The spelling of 3948969024 in words is "three billion, nine hundred forty-eight million, nine hundred sixty-nine thousand, twenty-four".