3540208500864 has 192 divisors, whose sum is σ = 11644094816640. Its totient is φ = 1011362623488.

The previous prime is 3540208500839. The next prime is 3540208500889. The reversal of 3540208500864 is 4680058020453.

3540208500864 is a `hidden beast` number, since 3 + 5 + 40 + 20 + 8 + 500 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3540208500839) and next prime (3540208500889).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79270989 + ... + 79315635.

It is an arithmetic number, because the mean of its divisors is an integer number (60646327170).

Almost surely, 2^{3540208500864} 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 3540208500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822047408320).

3540208500864 is an abundant number, since it is smaller than the sum of its proper divisors (8103886315776).

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

3540208500864 is a wasteful number, since it uses less digits than its factorization.

3540208500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54507 (or 54492 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3540208500864 in words is "three trillion, five hundred forty billion, two hundred eight million, five hundred thousand, eight hundred sixty-four".