347490000 has 600 divisors, whose sum is σ = 1480551072. Its totient is φ = 77760000.

The previous prime is 347489983. The next prime is 347490061. The reversal of 347490000 is 94743.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 26729994 + ... + 26730006.

Almost surely, 2^347490000 is an apocalyptic number.

347490000 is a gapful number since it is divisible by the number (30) 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 347490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275536).

347490000 is an abundant number, since it is smaller than the sum of its proper divisors (1133061072).

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

347490000 is a wasteful number, since it uses less digits than its factorization.

347490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 347490000 is about 18641.0836594872. The cubic root of 347490000 is about 703.0411900105.

The spelling of 347490000 in words is "three hundred forty-seven million, four hundred ninety thousand".