1353008376 has 96 divisors (see below), whose sum is σ = 3934850400. Its totient is φ = 418467840.

The previous prime is 1353008339. The next prime is 1353008387. The reversal of 1353008376 is 6738003531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1353008376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79120 + ... + 94688.

It is an arithmetic number, because the mean of its divisors is an integer number (40988025).

Almost surely, 2^1353008376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353008376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967425200).

1353008376 is an abundant number, since it is smaller than the sum of its proper divisors (2581842024).

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

1353008376 is a wasteful number, since it uses less digits than its factorization.

1353008376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1353008376 is about 36783.2621718085. The cubic root of 1353008376 is about 1106.0297999333.

The spelling of 1353008376 in words is "one billion, three hundred fifty-three million, eight thousand, three hundred seventy-six".