3385511700480 has 2304 divisors, whose sum is σ = 15434520192000. Its totient is φ = 697398460416.

The previous prime is 3385511700451. The next prime is 3385511700481. The reversal of 3385511700480 is 840071155833.

It is a happy number.

3385511700480 is a `hidden beast` number, since 3 + 3 + 8 + 55 + 117 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3385511700480² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385511700481) 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, 8277534516 + ... + 8277534924.

It is an arithmetic number, because the mean of its divisors is an integer number (6699010500).

Almost surely, 2^{3385511700480} is an apocalyptic number.

3385511700480 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 3385511700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717260096000).

3385511700480 is an abundant number, since it is smaller than the sum of its proper divisors (12049008491520).

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

3385511700480 is a wasteful number, since it uses less digits than its factorization.

3385511700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 3385511700480 in words is "three trillion, three hundred eighty-five billion, five hundred eleven million, seven hundred thousand, four hundred eighty".