1352379600 has 720 divisors, whose sum is σ = 5742382464. Its totient is φ = 290304000.

The previous prime is 1352379583. The next prime is 1352379601. The reversal of 1352379600 is 69732531.

1352379600 is a `hidden beast` number, since 1 + 3 + 523 + 79 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352379601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19047565 + ... + 19047635.

Almost surely, 2^1352379600 is an apocalyptic number.

1352379600 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 1352379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871191232).

1352379600 is an abundant number, since it is smaller than the sum of its proper divisors (4390002864).

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

1352379600 is a wasteful number, since it uses less digits than its factorization.

1352379600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1352379600 is about 36774.7141389298. The cubic root of 1352379600 is about 1105.8584403754.

The spelling of 1352379600 in words is "one billion, three hundred fifty-two million, three hundred seventy-nine thousand, six hundred".