3293045078400 has 1728 divisors, whose sum is σ = 14981597991360. Its totient is φ = 681053184000.

The previous prime is 3293045078377. The next prime is 3293045078431. The reversal of 3293045078400 is 48705403923.

3293045078400 is a `hidden beast` number, since 3 + 2 + 93 + 0 + 450 + 78 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 215 ways as a sum of consecutive naturals, for example, 4765622055 + ... + 4765622745.

It is an arithmetic number, because the mean of its divisors is an integer number (8669906245).

Almost surely, 2^{3293045078400} is an apocalyptic number.

3293045078400 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 3293045078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490798995680).

3293045078400 is an abundant number, since it is smaller than the sum of its proper divisors (11688552912960).

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

3293045078400 is a wasteful number, since it uses less digits than its factorization.

3293045078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3293045078400 in words is "three trillion, two hundred ninety-three billion, forty-five million, seventy-eight thousand, four hundred".