3400552995840 has 3168 divisors, whose sum is σ = 16358831663616. Its totient is φ = 633966428160.

The previous prime is 3400552995821. The next prime is 3400552995919. The reversal of 3400552995840 is 485992550043.

3400552995840 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 5 + 52 + 9 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31780869067 + ... + 31780869173.

Almost surely, 2^{3400552995840} is an apocalyptic number.

3400552995840 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 3400552995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179415831808).

3400552995840 is an abundant number, since it is smaller than the sum of its proper divisors (12958278667776).

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

3400552995840 is a wasteful number, since it uses less digits than its factorization.

3400552995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 3400552995840 in words is "three trillion, four hundred billion, five hundred fifty-two million, nine hundred ninety-five thousand, eight hundred forty".