3364154519040 has 1920 divisors, whose sum is σ = 14760945239040. Its totient is φ = 717209468928.

The previous prime is 3364154519039. The next prime is 3364154519111. The reversal of 3364154519040 is 409154514633.

3364154519040 is a `hidden beast` number, since 3 + 3 + 6 + 41 + 54 + 519 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3364154519040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6039774442 + ... + 6039774998.

It is an arithmetic number, because the mean of its divisors is an integer number (7687992312).

Almost surely, 2^{3364154519040} is an apocalyptic number.

3364154519040 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 3364154519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380472619520).

3364154519040 is an abundant number, since it is smaller than the sum of its proper divisors (11396790720000).

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

3364154519040 is an equidigital number, since it uses as much as digits as its factorization.

3364154519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3364154519040 in words is "three trillion, three hundred sixty-four billion, one hundred fifty-four million, five hundred nineteen thousand, forty".