1374894400 has 168 divisors, whose sum is σ = 3719047680. Its totient is φ = 496128000.

The previous prime is 1374894377. The next prime is 1374894401. The reversal of 1374894400 is 44984731.

It is a super-2 number, since 2×1374894400² = 3780669222302720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374894401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3361396 + ... + 3361804.

Almost surely, 2^1374894400 is an apocalyptic number.

1374894400 is a gapful number since it is divisible by the number (10) 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 1374894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859523840).

1374894400 is an abundant number, since it is smaller than the sum of its proper divisors (2344153280).

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

1374894400 is a wasteful number, since it uses less digits than its factorization.

1374894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1374894400 is about 37079.5684980287. The cubic root of 1374894400 is about 1111.9615776107.

The spelling of 1374894400 in words is "one billion, three hundred seventy-four million, eight hundred ninety-four thousand, four hundred".