3731266466400 has 1152 divisors, whose sum is σ = 15023998402560. Its totient is φ = 793165824000.

The previous prime is 3731266466383. The next prime is 3731266466401. The reversal of 3731266466400 is 46646621373.

It is a super-2 number, since 2×3731266466400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3731266466400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3731266466401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357635584 + ... + 357646016.

It is an arithmetic number, because the mean of its divisors is an integer number (13041665280).

Almost surely, 2^{3731266466400} is an apocalyptic number.

3731266466400 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 3731266466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511999201280).

3731266466400 is an abundant number, since it is smaller than the sum of its proper divisors (11292731936160).

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

3731266466400 is a wasteful number, since it uses less digits than its factorization.

3731266466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10527 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 3731266466400 in words is "three trillion, seven hundred thirty-one billion, two hundred sixty-six million, four hundred sixty-six thousand, four hundred".