345409132400640 has 1872 divisors, whose sum is σ = 1568383902199296. Its totient is φ = 69457438310400.

The previous prime is 345409132400627. The next prime is 345409132400641. The reversal of 345409132400640 is 46004231904543.

345409132400640 is a `hidden beast` number, since 3 + 4 + 54 + 0 + 9 + 132 + 400 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345409132400641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3079746804 + ... + 3079858956.

It is an arithmetic number, because the mean of its divisors is an integer number (837811913568).

Almost surely, 2^{345409132400640} is an apocalyptic number.

345409132400640 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 345409132400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784191951099648).

345409132400640 is an abundant number, since it is smaller than the sum of its proper divisors (1222974769798656).

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

345409132400640 is a wasteful number, since it uses less digits than its factorization.

345409132400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112244 (or 112212 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 345409132400640 in words is "three hundred forty-five trillion, four hundred nine billion, one hundred thirty-two million, four hundred thousand, six hundred forty".