3423729254400 has 2592 divisors, whose sum is σ = 15954276732030. Its totient is φ = 722369249280.

The previous prime is 3423729254383. The next prime is 3423729254461. The reversal of 3423729254400 is 44529273243.

3423729254400 is a `hidden beast` number, since 3 + 4 + 237 + 2 + 9 + 2 + 5 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1901486555136 + 1522242699264 = 1378944^2 + 1233792^2 .

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 263363788794 + ... + 263363788806.

Almost surely, 2^{3423729254400} is an apocalyptic number.

3423729254400 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 3423729254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977138366015).

3423729254400 is an abundant number, since it is smaller than the sum of its proper divisors (12530547477630).

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

3423729254400 is an frugal number, since it uses more digits than its factorization.

3423729254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3423729254400 in words is "three trillion, four hundred twenty-three billion, seven hundred twenty-nine million, two hundred fifty-four thousand, four hundred".