3918540356640 has 3456 divisors, whose sum is σ = 18925733369088. Its totient is φ = 755812270080.

The previous prime is 3918540356609. The next prime is 3918540356651. The reversal of 3918540356640 is 466530458193.

3918540356640 is a `hidden beast` number, since 3 + 9 + 1 + 8 + 540 + 3 + 56 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17262292207 + ... + 17262292433.

It is an arithmetic number, because the mean of its divisors is an integer number (5476195998).

Almost surely, 2^{3918540356640} is an apocalyptic number.

3918540356640 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 3918540356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462866684544).

3918540356640 is an abundant number, since it is smaller than the sum of its proper divisors (15007193012448).

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

3918540356640 is a wasteful number, since it uses less digits than its factorization.

3918540356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3918540356640 in words is "three trillion, nine hundred eighteen billion, five hundred forty million, three hundred fifty-six thousand, six hundred forty".