3422609510400 has 2496 divisors, whose sum is σ = 14391836006400. Its totient is φ = 802632499200.

The previous prime is 3422609510399. The next prime is 3422609510413. The reversal of 3422609510400 is 40159062243.

It is a happy number.

3422609510400 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 609 + 5 + 1 + 0 + 40 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110406758385 + ... + 110406758415.

Almost surely, 2^{3422609510400} is an apocalyptic number.

3422609510400 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 3422609510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195918003200).

3422609510400 is an abundant number, since it is smaller than the sum of its proper divisors (10969226496000).

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

3422609510400 is an equidigital number, since it uses as much as digits as its factorization.

3422609510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3422609510400 in words is "three trillion, four hundred twenty-two billion, six hundred nine million, five hundred ten thousand, four hundred".