3952615212000 has 3072 divisors, whose sum is σ = 18598035456000. Its totient is φ = 793226649600.

The previous prime is 3952615211983. The next prime is 3952615212011. The reversal of 3952615212000 is 2125162593.

It is a happy number.

3952615212000 is a `hidden beast` number, since 3 + 9 + 52 + 61 + 521 + 20 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19862387901 + ... + 19862388099.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048000).

Almost surely, 2^{3952615212000} is an apocalyptic number.

3952615212000 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 3952615212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299017728000).

3952615212000 is an abundant number, since it is smaller than the sum of its proper divisors (14645420244000).

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

3952615212000 is a wasteful number, since it uses less digits than its factorization.

3952615212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 3952615212000 in words is "three trillion, nine hundred fifty-two billion, six hundred fifteen million, two hundred twelve thousand".