3494937600 has 792 divisors, whose sum is σ = 15680478528. Its totient is φ = 722534400.

The previous prime is 3494937559. The next prime is 3494937631. The reversal of 3494937600 is 67394943.

3494937600 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17740702 + ... + 17740898.

It is an arithmetic number, because the mean of its divisors is an integer number (19798584).

Almost surely, 2^3494937600 is an apocalyptic number.

3494937600 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 3494937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840239264).

3494937600 is an abundant number, since it is smaller than the sum of its proper divisors (12185540928).

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

3494937600 is a wasteful number, since it uses less digits than its factorization.

3494937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3494937600 is about 59117.9972597178. The cubic root of 3494937600 is about 1517.5621123410.

The spelling of 3494937600 in words is "three billion, four hundred ninety-four million, nine hundred thirty-seven thousand, six hundred".