3400368491520 has 1760 divisors, whose sum is σ = 16362274553856. Its totient is φ = 652138905600.

The previous prime is 3400368491501. The next prime is 3400368491537. The reversal of 3400368491520 is 251948630043.

3400368491520 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 36 + 8 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 415130625 + ... + 415138815.

Almost surely, 2^{3400368491520} is an apocalyptic number.

3400368491520 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 3400368491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181137276928).

3400368491520 is an abundant number, since it is smaller than the sum of its proper divisors (12961906062336).

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

3400368491520 is a wasteful number, since it uses less digits than its factorization.

3400368491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3400368491520 in words is "three trillion, four hundred billion, three hundred sixty-eight million, four hundred ninety-one thousand, five hundred twenty".