3460945190400 has 2880 divisors, whose sum is σ = 14686143151680. Its totient is φ = 802632499200.

The previous prime is 3460945190303. The next prime is 3460945190467. The reversal of 3460945190400 is 40915490643.

3460945190400 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 94 + 519 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3460945190400² (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 287 ways as a sum of consecutive naturals, for example, 56736806370 + ... + 56736806430.

It is an arithmetic number, because the mean of its divisors is an integer number (5099355261).

Almost surely, 2^{3460945190400} is an apocalyptic number.

3460945190400 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 3460945190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343071575840).

3460945190400 is an abundant number, since it is smaller than the sum of its proper divisors (11225197961280).

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

3460945190400 is a wasteful number, since it uses less digits than its factorization.

3460945190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3460945190400 in words is "three trillion, four hundred sixty billion, nine hundred forty-five million, one hundred ninety thousand, four hundred".