1352678400 has 528 divisors, whose sum is σ = 5279622400. Its totient is φ = 338411520.

The previous prime is 1352678357. The next prime is 1352678401. The reversal of 1352678400 is 48762531.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352678401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13132749 + ... + 13132851.

Almost surely, 2^1352678400 is an apocalyptic number.

1352678400 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 1352678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639811200).

1352678400 is an abundant number, since it is smaller than the sum of its proper divisors (3926944000).

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

1352678400 is a wasteful number, since it uses less digits than its factorization.

1352678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1352678400 is about 36778.7764886218. The cubic root of 1352678400 is about 1105.9398785972.

The spelling of 1352678400 in words is "one billion, three hundred fifty-two million, six hundred seventy-eight thousand, four hundred".