3251400970752 has 640 divisors, whose sum is σ = 10781965624320. Its totient is φ = 958916689920.

The previous prime is 3251400970751. The next prime is 3251400970757. The reversal of 3251400970752 is 2570790041523.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3251400970698 and 3251400970707.

It is not an unprimeable number, because it can be changed into a prime (3251400970751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2268946228 + ... + 2268947660.

It is an arithmetic number, because the mean of its divisors is an integer number (16846821288).

Almost surely, 2^{3251400970752} is an apocalyptic number.

3251400970752 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 3251400970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390982812160).

3251400970752 is an abundant number, since it is smaller than the sum of its proper divisors (7530564653568).

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

3251400970752 is a wasteful number, since it uses less digits than its factorization.

3251400970752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 3251400970752 in words is "three trillion, two hundred fifty-one billion, four hundred million, nine hundred seventy thousand, seven hundred fifty-two".