3951411200352 has 576 divisors, whose sum is σ = 14494034419200. Its totient is φ = 1025177472000.

The previous prime is 3951411200339. The next prime is 3951411200383. The reversal of 3951411200352 is 2530021141593.

It is a happy number.

3951411200352 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 411 + 200 + 35 + 2 = 666.

It is a super-2 number, since 2×3951411200352² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 782300227 + ... + 782305277.

It is an arithmetic number, because the mean of its divisors is an integer number (25163254200).

Almost surely, 2^{3951411200352} is an apocalyptic number.

3951411200352 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 3951411200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247017209600).

3951411200352 is an abundant number, since it is smaller than the sum of its proper divisors (10542623218848).

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

3951411200352 is a wasteful number, since it uses less digits than its factorization.

3951411200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6143 counting only the distinct ones).

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

The spelling of 3951411200352 in words is "three trillion, nine hundred fifty-one billion, four hundred eleven million, two hundred thousand, three hundred fifty-two".