1349057700 has 144 divisors (see below), whose sum is σ = 4408606720. Its totient is φ = 353808000.

The previous prime is 1349057687. The next prime is 1349057737. The reversal of 1349057700 is 77509431.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 160605 + ... + 168795.

Almost surely, 2^1349057700 is an apocalyptic number.

1349057700 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 1349057700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204303360).

1349057700 is an abundant number, since it is smaller than the sum of its proper divisors (3059549020).

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

1349057700 is a wasteful number, since it uses less digits than its factorization.

1349057700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1349057700 is about 36729.5208245357. The cubic root of 1349057700 is about 1104.9522443411.

The spelling of 1349057700 in words is "one billion, three hundred forty-nine million, fifty-seven thousand, seven hundred".