3462278400 has 648 divisors, whose sum is σ = 14655839744. Its totient is φ = 763084800.

The previous prime is 3462278387. The next prime is 3462278423. The reversal of 3462278400 is 48722643.

3462278400 is a `hidden beast` number, since 346 + 2 + 278 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12499062 + ... + 12499338.

Almost surely, 2^3462278400 is an apocalyptic number.

3462278400 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 3462278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327919872).

3462278400 is an abundant number, since it is smaller than the sum of its proper divisors (11193561344).

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

3462278400 is a wasteful number, since it uses less digits than its factorization.

3462278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3462278400 is about 58841.1284732032. The cubic root of 3462278400 is about 1512.8202486504.

The spelling of 3462278400 in words is "three billion, four hundred sixty-two million, two hundred seventy-eight thousand, four hundred".