340776416700 has 216 divisors, whose sum is σ = 1086427943328. Its totient is φ = 89331240960.

The previous prime is 340776416699. The next prime is 340776416719. The reversal of 340776416700 is 7614677043.

It is a super-2 number, since 2×340776416700² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 12686484 + ... + 12713316.

Almost surely, 2^340776416700 is an apocalyptic number.

340776416700 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 340776416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543213971664).

340776416700 is an abundant number, since it is smaller than the sum of its proper divisors (745651526628).

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

340776416700 is a wasteful number, since it uses less digits than its factorization.

340776416700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27093 (or 27083 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 340776416700 in words is "three hundred forty billion, seven hundred seventy-six million, four hundred sixteen thousand, seven hundred".