3812510150400 has 1296 divisors, whose sum is σ = 15363278020608. Its totient is φ = 829108224000.

The previous prime is 3812510150363. The next prime is 3812510150437. The reversal of 3812510150400 is 40510152183.

It is an interprime number because it is at equal distance from previous prime (3812510150363) and next prime (3812510150437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1779051729 + ... + 1779053871.

Almost surely, 2^{3812510150400} is an apocalyptic number.

3812510150400 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 3812510150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681639010304).

3812510150400 is an abundant number, since it is smaller than the sum of its proper divisors (11550767870208).

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

3812510150400 is a wasteful number, since it uses less digits than its factorization.

3812510150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 3812510150400 in words is "three trillion, eight hundred twelve billion, five hundred ten million, one hundred fifty thousand, four hundred".