3614940640080 has 1440 divisors, whose sum is σ = 16115718528000. Its totient is φ = 709660385280.

The previous prime is 3614940640039. The next prime is 3614940640099. The reversal of 3614940640080 is 800460494163.

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 287 ways as a sum of consecutive naturals, for example, 831209746 + ... + 831214094.

It is an arithmetic number, because the mean of its divisors is an integer number (11191471200).

Almost surely, 2^{3614940640080} is an apocalyptic number.

3614940640080 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 3614940640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057859264000).

3614940640080 is an abundant number, since it is smaller than the sum of its proper divisors (12500777887920).

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

3614940640080 is a wasteful number, since it uses less digits than its factorization.

3614940640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3614940640080 in words is "three trillion, six hundred fourteen billion, nine hundred forty million, six hundred forty thousand, eighty".