3970329216 has 384 divisors, whose sum is σ = 13126665600. Its totient is φ = 1039933440.

The previous prime is 3970329203. The next prime is 3970329263. The reversal of 3970329216 is 6129230793.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74911846 + ... + 74911898.

It is an arithmetic number, because the mean of its divisors is an integer number (34184025).

Almost surely, 2^3970329216 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 3970329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563332800).

3970329216 is an abundant number, since it is smaller than the sum of its proper divisors (9156336384).

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

3970329216 is a wasteful number, since it uses less digits than its factorization.

3970329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3970329216 is about 63010.5484502397. The cubic root of 3970329216 is about 1583.4663542634.

The spelling of 3970329216 in words is "three billion, nine hundred seventy million, three hundred twenty-nine thousand, two hundred sixteen".