3385347504 has 80 divisors (see below), whose sum is σ = 10903468800. Its totient is φ = 879310080.

The previous prime is 3385347487. The next prime is 3385347517. The reversal of 3385347504 is 4057435833.

It is a super-3 number, since 3×3385347504³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454279 + ... + 461670.

It is an arithmetic number, because the mean of its divisors is an integer number (136293360).

Almost surely, 2^3385347504 is an apocalyptic number.

It is an amenable number.

3385347504 is an abundant number, since it is smaller than the sum of its proper divisors (7518121296).

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

3385347504 is a wasteful number, since it uses less digits than its factorization.

3385347504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915978 (or 915972 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 3385347504 is about 58183.7391716964. The cubic root of 3385347504 is about 1501.5313995671.

The spelling of 3385347504 in words is "three billion, three hundred eighty-five million, three hundred forty-seven thousand, five hundred four".