3070973952 has 384 divisors, whose sum is σ = 9959040000. Its totient is φ = 931627008.

The previous prime is 3070973947. The next prime is 3070973981. The reversal of 3070973952 is 2593790703.

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

It is a junction number, because it is equal to n+sod(n) for n = 3070973898 and 3070973907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38873049 + ... + 38873127.

It is an arithmetic number, because the mean of its divisors is an integer number (25935000).

Almost surely, 2^3070973952 is an apocalyptic number.

3070973952 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 3070973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520000).

3070973952 is an abundant number, since it is smaller than the sum of its proper divisors (6888066048).

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

3070973952 is a wasteful number, since it uses less digits than its factorization.

3070973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 3070973952 is about 55416.3689896767. The cubic root of 3070973952 is about 1453.5346113695.

The spelling of 3070973952 in words is "three billion, seventy million, nine hundred seventy-three thousand, nine hundred fifty-two".