1375730400 has 432 divisors, whose sum is σ = 5168669184. Its totient is φ = 314880000.

The previous prime is 1375730387. The next prime is 1375730417. The reversal of 1375730400 is 40375731.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 33554380 + ... + 33554420.

It is an arithmetic number, because the mean of its divisors is an integer number (11964512).

Almost surely, 2^1375730400 is an apocalyptic number.

1375730400 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 1375730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584334592).

1375730400 is an abundant number, since it is smaller than the sum of its proper divisors (3792938784).

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

1375730400 is a wasteful number, since it uses less digits than its factorization.

1375730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 1375730400 is about 37090.8398395075. The cubic root of 1375730400 is about 1112.1869068018.

The spelling of 1375730400 in words is "one billion, three hundred seventy-five million, seven hundred thirty thousand, four hundred".