1347894900 has 216 divisors, whose sum is σ = 4641515424. Its totient is φ = 324460800.

The previous prime is 1347894893. The next prime is 1347894917. The reversal of 1347894900 is 94987431.

1347894900 is a `hidden beast` number, since 1 + 3 + 478 + 94 + 90 + 0 = 666.

It is a super-3 number, since 3×1347894900³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1712307 + ... + 1713093.

Almost surely, 2^1347894900 is an apocalyptic number.

1347894900 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 1347894900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320757712).

1347894900 is an abundant number, since it is smaller than the sum of its proper divisors (3293620524).

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

1347894900 is a wasteful number, since it uses less digits than its factorization.

1347894900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1347894900 is about 36713.6881830197. The cubic root of 1347894900 is about 1104.6346874282.

The spelling of 1347894900 in words is "one billion, three hundred forty-seven million, eight hundred ninety-four thousand, nine hundred".