1352725920 has 960 divisors, whose sum is σ = 6229149696. Its totient is φ = 268738560.

The previous prime is 1352725879. The next prime is 1352725931. The reversal of 1352725920 is 295272531.

1352725920 is a `hidden beast` number, since 13 + 52 + 7 + 2 + 592 + 0 = 666.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36560142 + ... + 36560178.

Almost surely, 2^1352725920 is an apocalyptic number.

1352725920 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 1352725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114574848).

1352725920 is an abundant number, since it is smaller than the sum of its proper divisors (4876423776).

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

1352725920 is a wasteful number, since it uses less digits than its factorization.

1352725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1352725920 is about 36779.4225077012. The cubic root of 1352725920 is about 1105.9528291126.

The spelling of 1352725920 in words is "one billion, three hundred fifty-two million, seven hundred twenty-five thousand, nine hundred twenty".