3494680761600 has 1728 divisors, whose sum is σ = 15634788198400. Its totient is φ = 746018242560.

The previous prime is 3494680761589. The next prime is 3494680761631. The reversal of 3494680761600 is 61670864943.

3494680761600 is a `hidden beast` number, since 3 + 494 + 6 + 80 + 76 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1677714159 + ... + 1677716241.

Almost surely, 2^{3494680761600} is an apocalyptic number.

3494680761600 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 3494680761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817394099200).

3494680761600 is an abundant number, since it is smaller than the sum of its proper divisors (12140107436800).

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

3494680761600 is a wasteful number, since it uses less digits than its factorization.

3494680761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3494680761600 in words is "three trillion, four hundred ninety-four billion, six hundred eighty million, seven hundred sixty-one thousand, six hundred".