3970052352 has 288 divisors, whose sum is σ = 13596360960. Its totient is φ = 1133180928.

The previous prime is 3970052341. The next prime is 3970052377. The reversal of 3970052352 is 2532500793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3970052352² = 31522631355241463808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918598 + ... + 3919610.

Almost surely, 2^3970052352 is an apocalyptic number.

3970052352 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 3970052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798180480).

3970052352 is an abundant number, since it is smaller than the sum of its proper divisors (9626308608).

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

3970052352 is an frugal number, since it uses more digits than its factorization.

3970052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3970052352 is about 63008.3514464551. The cubic root of 3970052352 is about 1583.4295466507.

The spelling of 3970052352 in words is "three billion, nine hundred seventy million, fifty-two thousand, three hundred fifty-two".