3723406133400 has 576 divisors, whose sum is σ = 13614011236800. Its totient is φ = 908163809280.

The previous prime is 3723406133399. The next prime is 3723406133413. The reversal of 3723406133400 is 43316043273.

3723406133400 is a `hidden beast` number, since 3 + 7 + 2 + 3 + 4 + 0 + 613 + 34 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1384679256 + ... + 1384681944.

It is an arithmetic number, because the mean of its divisors is an integer number (23635436175).

Almost surely, 2^{3723406133400} is an apocalyptic number.

3723406133400 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 3723406133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807005618400).

3723406133400 is an abundant number, since it is smaller than the sum of its proper divisors (9890605103400).

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

3723406133400 is a wasteful number, since it uses less digits than its factorization.

3723406133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 3723406133400 in words is "three trillion, seven hundred twenty-three billion, four hundred six million, one hundred thirty-three thousand, four hundred".