345020378640 has 640 divisors, whose sum is σ = 1276046327808. Its totient is φ = 75494522880.

The previous prime is 345020378629. The next prime is 345020378657. The reversal of 345020378640 is 46873020543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 345020378592 and 345020378601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 819525630 + ... + 819526050.

Almost surely, 2^345020378640 is an apocalyptic number.

345020378640 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 345020378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638023163904).

345020378640 is an abundant number, since it is smaller than the sum of its proper divisors (931025949168).

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

345020378640 is a wasteful number, since it uses less digits than its factorization.

345020378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 345020378640 in words is "three hundred forty-five billion, twenty million, three hundred seventy-eight thousand, six hundred forty".