3468264674400 has 720 divisors, whose sum is σ = 13130968158000. Its totient is φ = 889789501440.

The previous prime is 3468264674393. The next prime is 3468264674449. The reversal of 3468264674400 is 44764628643.

3468264674400 is a `hidden beast` number, since 3 + 4 + 6 + 82 + 64 + 67 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 550602451 + ... + 550608749.

It is an arithmetic number, because the mean of its divisors is an integer number (18237455775).

Almost surely, 2^{3468264674400} is an apocalyptic number.

3468264674400 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 3468264674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565484079000).

3468264674400 is an abundant number, since it is smaller than the sum of its proper divisors (9662703483600).

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

3468264674400 is a wasteful number, since it uses less digits than its factorization.

3468264674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 3468264674400 in words is "three trillion, four hundred sixty-eight billion, two hundred sixty-four million, six hundred seventy-four thousand, four hundred".