1352721600 has 336 divisors, whose sum is σ = 4987076640. Its totient is φ = 356659200.

The previous prime is 1352721581. The next prime is 1352721613. The reversal of 1352721600 is 61272531.

It is a happy number.

1352721600 is a `hidden beast` number, since 1 + 3 + 52 + 7 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7473510 + ... + 7473690.

It is an arithmetic number, because the mean of its divisors is an integer number (14842490).

Almost surely, 2^1352721600 is an apocalyptic number.

1352721600 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 1352721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493538320).

1352721600 is an abundant number, since it is smaller than the sum of its proper divisors (3634355040).

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

1352721600 is a wasteful number, since it uses less digits than its factorization.

1352721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1352721600 is about 36779.3637791629. The cubic root of 1352721600 is about 1105.9516518056.

The spelling of 1352721600 in words is "one billion, three hundred fifty-two million, seven hundred twenty-one thousand, six hundred".