345964617600 has 768 divisors, whose sum is σ = 1375090560000. Its totient is φ = 76329738240.

The previous prime is 345964617563. The next prime is 345964617611. The reversal of 345964617600 is 6716469543.

It is a super-2 number, since 2×345964617600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95489389 + ... + 95493011.

It is an arithmetic number, because the mean of its divisors is an integer number (1790482500).

Almost surely, 2^345964617600 is an apocalyptic number.

345964617600 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 345964617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687545280000).

345964617600 is an abundant number, since it is smaller than the sum of its proper divisors (1029125942400).

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

345964617600 is a wasteful number, since it uses less digits than its factorization.

345964617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 345964617600 in words is "three hundred forty-five billion, nine hundred sixty-four million, six hundred seventeen thousand, six hundred".