3813400926720 has 2560 divisors, whose sum is σ = 18056444313600. Its totient is φ = 739462348800.

The previous prime is 3813400926701. The next prime is 3813400926721. The reversal of 3813400926720 is 276290043183.

3813400926720 is a `hidden beast` number, since 3 + 81 + 3 + 400 + 92 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3813400926721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4784693362 + ... + 4784694158.

It is an arithmetic number, because the mean of its divisors is an integer number (7053298560).

Almost surely, 2^{3813400926720} is an apocalyptic number.

3813400926720 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 3813400926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028222156800).

3813400926720 is an abundant number, since it is smaller than the sum of its proper divisors (14243043386880).

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

3813400926720 is a wasteful number, since it uses less digits than its factorization.

3813400926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3813400926720 in words is "three trillion, eight hundred thirteen billion, four hundred million, nine hundred twenty-six thousand, seven hundred twenty".