345701990400 has 1440 divisors, whose sum is σ = 1392508373760. Its totient is φ = 74742497280.

The previous prime is 345701990377. The next prime is 345701990423. The reversal of 345701990400 is 4099107543.

It is an interprime number because it is at equal distance from previous prime (345701990377) and next prime (345701990423).

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, 5159731167 + ... + 5159731233.

It is an arithmetic number, because the mean of its divisors is an integer number (967019704).

Almost surely, 2^345701990400 is an apocalyptic number.

345701990400 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 345701990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696254186880).

345701990400 is an abundant number, since it is smaller than the sum of its proper divisors (1046806383360).

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

345701990400 is a wasteful number, since it uses less digits than its factorization.

345701990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 345701990400 in words is "three hundred forty-five billion, seven hundred one million, nine hundred ninety thousand, four hundred".