3364516405920 has 576 divisors, whose sum is σ = 11504663041536. Its totient is φ = 826154434560.

The previous prime is 3364516405891. The next prime is 3364516405949. The reversal of 3364516405920 is 295046154633.

It is an interprime number because it is at equal distance from previous prime (3364516405891) and next prime (3364516405949).

It is a super-2 number, since 2×3364516405920² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3364516405920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231970955 + ... + 1231973685.

It is an arithmetic number, because the mean of its divisors is an integer number (19973373336).

Almost surely, 2^{3364516405920} is an apocalyptic number.

3364516405920 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 3364516405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752331520768).

3364516405920 is an abundant number, since it is smaller than the sum of its proper divisors (8140146635616).

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

3364516405920 is a wasteful number, since it uses less digits than its factorization.

3364516405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 3364516405920 in words is "three trillion, three hundred sixty-four billion, five hundred sixteen million, four hundred five thousand, nine hundred twenty".