3234635680320 has 336 divisors, whose sum is σ = 12144589262208. Its totient is φ = 783678996480.

The previous prime is 3234635680319. The next prime is 3234635680333. The reversal of 3234635680320 is 230865364323.

3234635680320 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 63 + 568 + 0 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53730877 + ... + 53791043.

Almost surely, 2^{3234635680320} is an apocalyptic number.

3234635680320 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 3234635680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072294631104).

3234635680320 is an abundant number, since it is smaller than the sum of its proper divisors (8909953581888).

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

3234635680320 is a wasteful number, since it uses less digits than its factorization.

3234635680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61898 (or 61885 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3234635680320 in words is "three trillion, two hundred thirty-four billion, six hundred thirty-five million, six hundred eighty thousand, three hundred twenty".