3539307307008 has 448 divisors, whose sum is σ = 10899282240000. Its totient is φ = 1011355484160.

The previous prime is 3539307306961. The next prime is 3539307307021. The reversal of 3539307307008 is 8007037039353.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 337103743 + ... + 337114241.

It is an arithmetic number, because the mean of its divisors is an integer number (24328755000).

Almost surely, 2^{3539307307008} 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 3539307307008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449641120000).

3539307307008 is an abundant number, since it is smaller than the sum of its proper divisors (7359974932992).

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

3539307307008 is a wasteful number, since it uses less digits than its factorization.

3539307307008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The spelling of 3539307307008 in words is "three trillion, five hundred thirty-nine billion, three hundred seven million, three hundred seven thousand, eight".