340802946432 has 192 divisors, whose sum is σ = 1059193895760. Its totient is φ = 104558653440.

The previous prime is 340802946427. The next prime is 340802946457. The reversal of 340802946432 is 234649208043.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×340802946432² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5163882 + ... + 5229462.

Almost surely, 2^340802946432 is an apocalyptic number.

340802946432 is a gapful number since it is divisible by the number (32) 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 340802946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529596947880).

340802946432 is an abundant number, since it is smaller than the sum of its proper divisors (718390949328).

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

340802946432 is a wasteful number, since it uses less digits than its factorization.

340802946432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65961 (or 65946 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 340802946432 in words is "three hundred forty billion, eight hundred two million, nine hundred forty-six thousand, four hundred thirty-two".