3493828800 has 1008 divisors, whose sum is σ = 16273101312. Its totient is φ = 689356800.

The previous prime is 3493828771. The next prime is 3493828829. The reversal of 3493828800 is 88283943.

3493828800 is a `hidden beast` number, since 3 + 493 + 82 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3493828771) and next prime (3493828829).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502332 + ... + 25502468.

Almost surely, 2^3493828800 is an apocalyptic number.

3493828800 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 3493828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136550656).

3493828800 is an abundant number, since it is smaller than the sum of its proper divisors (12779272512).

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

3493828800 is a wasteful number, since it uses less digits than its factorization.

3493828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3493828800 is about 59108.6186609026. The cubic root of 3493828800 is about 1517.4016086791.

The spelling of 3493828800 in words is "three billion, four hundred ninety-three million, eight hundred twenty-eight thousand, eight hundred".