306749418436032 has 896 divisors, whose sum is σ = 973545703603200. Its totient is φ = 84017184768000.

The previous prime is 306749418435991. The next prime is 306749418436057. The reversal of 306749418436032 is 230634814947603.

It is a congruent number.

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, 286949876394 + ... + 286949877462.

It is an arithmetic number, because the mean of its divisors is an integer number (1086546544200).

Almost surely, 2^{306749418436032} is an apocalyptic number.

306749418436032 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 306749418436032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486772851801600).

306749418436032 is an abundant number, since it is smaller than the sum of its proper divisors (666796285167168).

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

306749418436032 is a wasteful number, since it uses less digits than its factorization.

306749418436032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

The spelling of 306749418436032 in words is "three hundred six trillion, seven hundred forty-nine billion, four hundred eighteen million, four hundred thirty-six thousand, thirty-two".