3400819292160 has 960 divisors, whose sum is σ = 12534992870400. Its totient is φ = 885117321216.

The previous prime is 3400819292131. The next prime is 3400819292179. The reversal of 3400819292160 is 612929180043.

3400819292160 is a `hidden beast` number, since 3 + 400 + 8 + 1 + 9 + 29 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 9473034061 + ... + 9473034419.

It is an arithmetic number, because the mean of its divisors is an integer number (13057284240).

Almost surely, 2^{3400819292160} is an apocalyptic number.

3400819292160 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 3400819292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267496435200).

3400819292160 is an abundant number, since it is smaller than the sum of its proper divisors (9134173578240).

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

3400819292160 is an frugal number, since it uses more digits than its factorization.

3400819292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3400819292160 in words is "three trillion, four hundred billion, eight hundred nineteen million, two hundred ninety-two thousand, one hundred sixty".