345652070400 has 864 divisors, whose sum is σ = 1523754348480. Its totient is φ = 72919941120.

The previous prime is 345652070383. The next prime is 345652070417. The reversal of 345652070400 is 4070256543.

345652070400 is a `hidden beast` number, since 3 + 4 + 565 + 20 + 70 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345652070383) and next prime (345652070417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41928679 + ... + 41936921.

It is an arithmetic number, because the mean of its divisors is an integer number (1763604570).

Almost surely, 2^345652070400 is an apocalyptic number.

345652070400 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 345652070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761877174240).

345652070400 is an abundant number, since it is smaller than the sum of its proper divisors (1178102278080).

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

345652070400 is a wasteful number, since it uses less digits than its factorization.

345652070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 345652070400 in words is "three hundred forty-five billion, six hundred fifty-two million, seventy thousand, four hundred".