1349485200 has 180 divisors, whose sum is σ = 5352201088. Its totient is φ = 308448000.

The previous prime is 1349485183. The next prime is 1349485219. The reversal of 1349485200 is 25849431.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1349485200² = 3642220610038080000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1576 + ... + 51975.

Almost surely, 2^1349485200 is an apocalyptic number.

1349485200 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 1349485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676100544).

1349485200 is an abundant number, since it is smaller than the sum of its proper divisors (4002715888).

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

1349485200 is a wasteful number, since it uses less digits than its factorization.

1349485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53582 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1349485200 is about 36735.3399330944. The cubic root of 1349485200 is about 1105.0689473301.

The spelling of 1349485200 in words is "one billion, three hundred forty-nine million, four hundred eighty-five thousand, two hundred".