3472457222400 has 432 divisors, whose sum is σ = 11991754603584. Its totient is φ = 883953008640.

The previous prime is 3472457222393. The next prime is 3472457222407. The reversal of 3472457222400 is 42227542743.

It is an interprime number because it is at equal distance from previous prime (3472457222393) and next prime (3472457222407).

It is a super-2 number, since 2×3472457222400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3472457222407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37605087 + ... + 37697313.

It is an arithmetic number, because the mean of its divisors is an integer number (27758691212).

Almost surely, 2^{3472457222400} is an apocalyptic number.

3472457222400 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 3472457222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995877301792).

3472457222400 is an abundant number, since it is smaller than the sum of its proper divisors (8519297381184).

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

3472457222400 is a wasteful number, since it uses less digits than its factorization.

3472457222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92346 (or 92327 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 42.

The spelling of 3472457222400 in words is "three trillion, four hundred seventy-two billion, four hundred fifty-seven million, two hundred twenty-two thousand, four hundred".