1395372000 has 432 divisors, whose sum is σ = 5191896528. Its totient is φ = 327360000.

The previous prime is 1395371977. The next prime is 1395372029. The reversal of 1395372000 is 2735931.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45011985 + ... + 45012015.

It is an arithmetic number, because the mean of its divisors is an integer number (12018279).

Almost surely, 2^1395372000 is an apocalyptic number.

1395372000 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 1395372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595948264).

1395372000 is an abundant number, since it is smaller than the sum of its proper divisors (3796524528).

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

1395372000 is a wasteful number, since it uses less digits than its factorization.

1395372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 1395372000 is about 37354.6784218523. The cubic root of 1395372000 is about 1117.4548926035.

Multiplying 1395372000 by its sum of digits (30), we get a square (41861160000 = 204600²).

1395372000 divided by its sum of digits (30) gives a square (46512400 = 6820²).

The spelling of 1395372000 in words is "one billion, three hundred ninety-five million, three hundred seventy-two thousand".