3642793116 has 96 divisors (see below), whose sum is σ = 9271406592. Its totient is φ = 1108546560.

The previous prime is 3642793109. The next prime is 3642793129. The reversal of 3642793116 is 6113972463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3675381 + ... + 3676371.

It is an arithmetic number, because the mean of its divisors is an integer number (96577152).

Almost surely, 2^3642793116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642793116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635703296).

3642793116 is an abundant number, since it is smaller than the sum of its proper divisors (5628613476).

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

3642793116 is a wasteful number, since it uses less digits than its factorization.

3642793116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3642793116 is about 60355.5558006055. Note that the first 3 decimals coincide. The cubic root of 3642793116 is about 1538.6676951844.

The spelling of 3642793116 in words is "three billion, six hundred forty-two million, seven hundred ninety-three thousand, one hundred sixteen".