3450437222400 has 1800 divisors, whose sum is σ = 14867074696320. Its totient is φ = 774816399360.

The previous prime is 3450437222359. The next prime is 3450437222473. The reversal of 3450437222400 is 42227340543.

3450437222400 is a `hidden beast` number, since 3 + 45 + 0 + 4 + 372 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 119 ways as a sum of consecutive naturals, for example, 19276185511 + ... + 19276185689.

Almost surely, 2^{3450437222400} is an apocalyptic number.

3450437222400 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 3450437222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433537348160).

3450437222400 is an abundant number, since it is smaller than the sum of its proper divisors (11416637473920).

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

3450437222400 is an equidigital number, since it uses as much as digits as its factorization.

3450437222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 3450437222400 in words is "three trillion, four hundred fifty billion, four hundred thirty-seven million, two hundred twenty-two thousand, four hundred".