3472404125400 has 1536 divisors, whose sum is σ = 14873048064000. Its totient is φ = 726669066240.

The previous prime is 3472404125387. The next prime is 3472404125419. The reversal of 3472404125400 is 45214042743.

3472404125400 is a `hidden beast` number, since 3 + 4 + 7 + 240 + 4 + 1 + 2 + 5 + 400 = 666.

3472404125400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3705873732 + ... + 3705874668.

It is an arithmetic number, because the mean of its divisors is an integer number (9682974000).

Almost surely, 2^{3472404125400} is an apocalyptic number.

3472404125400 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 3472404125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436524032000).

3472404125400 is an abundant number, since it is smaller than the sum of its proper divisors (11400643938600).

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

3472404125400 is a wasteful number, since it uses less digits than its factorization.

3472404125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 3472404125400 in words is "three trillion, four hundred seventy-two billion, four hundred four million, one hundred twenty-five thousand, four hundred".