3540661516620 has 576 divisors, whose sum is σ = 11786556862080. Its totient is φ = 856977408000.

The previous prime is 3540661516597. The next prime is 3540661516627. The reversal of 3540661516620 is 266151660453.

3540661516620 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 6 + 6 + 1 + 5 + 16 + 620 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3540661516627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2054939079 + ... + 2054940801.

It is an arithmetic number, because the mean of its divisors is an integer number (20462772330).

Almost surely, 2^{3540661516620} is an apocalyptic number.

3540661516620 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 3540661516620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893278431040).

3540661516620 is an abundant number, since it is smaller than the sum of its proper divisors (8245895345460).

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

3540661516620 is a wasteful number, since it uses less digits than its factorization.

3540661516620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3540661516620 in words is "three trillion, five hundred forty billion, six hundred sixty-one million, five hundred sixteen thousand, six hundred twenty".