3494928691800 has 1152 divisors, whose sum is σ = 15162814517760. Its totient is φ = 728430796800.

The previous prime is 3494928691777. The next prime is 3494928691831. The reversal of 3494928691800 is 81968294943.

3494928691800 is a `hidden beast` number, since 3 + 4 + 9 + 492 + 8 + 69 + 1 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 367071040 + ... + 367080560.

It is an arithmetic number, because the mean of its divisors is an integer number (13162165380).

Almost surely, 2^{3494928691800} is an apocalyptic number.

3494928691800 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 3494928691800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581407258880).

3494928691800 is an abundant number, since it is smaller than the sum of its proper divisors (11667885825960).

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

3494928691800 is a wasteful number, since it uses less digits than its factorization.

3494928691800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 3494928691800 in words is "three trillion, four hundred ninety-four billion, nine hundred twenty-eight million, six hundred ninety-one thousand, eight hundred".