3512970000 has 250 divisors, whose sum is σ = 12708305478. Its totient is φ = 936576000.

The previous prime is 3512969953. The next prime is 3512970031. The reversal of 3512970000 is 792153.

It can be written as a sum of positive squares in 5 ways, for example, as 2536532496 + 976437504 = 50364^2 + 31248^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 807832 + ... + 812168.

Almost surely, 2^3512970000 is an apocalyptic number.

3512970000 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 3512970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354152739).

3512970000 is an abundant number, since it is smaller than the sum of its proper divisors (9195335478).

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

3512970000 is an equidigital number, since it uses as much as digits as its factorization.

3512970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3512970000 is about 59270.3129736970. The cubic root of 3512970000 is about 1520.1676292505.

The spelling of 3512970000 in words is "three billion, five hundred twelve million, nine hundred seventy thousand".