381251900736 has 224 divisors, whose sum is σ = 1282142094080. Its totient is φ = 108825679872.

The previous prime is 381251900719. The next prime is 381251900753. The reversal of 381251900736 is 637009152183.

It is an interprime number because it is at equal distance from previous prime (381251900719) and next prime (381251900753).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 381251900691 and 381251900700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13206510 + ... + 13235346.

Almost surely, 2^381251900736 is an apocalyptic number.

381251900736 is a gapful number since it is divisible by the number (36) 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 381251900736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641071047040).

381251900736 is an abundant number, since it is smaller than the sum of its proper divisors (900890193344).

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

381251900736 is a wasteful number, since it uses less digits than its factorization.

381251900736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29958 (or 29942 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 381251900736 in words is "three hundred eighty-one billion, two hundred fifty-one million, nine hundred thousand, seven hundred thirty-six".