3970432080 has 200 divisors, whose sum is σ = 13863696000. Its totient is φ = 1053119232.

The previous prime is 3970432069. The next prime is 3970432097. The reversal of 3970432080 is 802340793.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1287981 + ... + 1291059.

It is an arithmetic number, because the mean of its divisors is an integer number (69318480).

Almost surely, 2^3970432080 is an apocalyptic number.

3970432080 is a gapful number since it is divisible by the number (30) 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 3970432080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931848000).

3970432080 is an abundant number, since it is smaller than the sum of its proper divisors (9893263920).

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

3970432080 is a wasteful number, since it uses less digits than its factorization.

3970432080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3970432080 is about 63011.3646892368. The cubic root of 3970432080 is about 1583.4800290552.

The spelling of 3970432080 in words is "three billion, nine hundred seventy million, four hundred thirty-two thousand, eighty".