3495801600 has 324 divisors, whose sum is σ = 12617926776. Its totient is φ = 923320320.

The previous prime is 3495801599. The next prime is 3495801649. The reversal of 3495801600 is 61085943.

3495801600 is a `hidden beast` number, since 3 + 49 + 5 + 8 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 7890979 + ... + 7891421.

Almost surely, 2^3495801600 is an apocalyptic number.

3495801600 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 3495801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308963388).

3495801600 is an abundant number, since it is smaller than the sum of its proper divisors (9122125176).

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

3495801600 is a wasteful number, since it uses less digits than its factorization.

3495801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3495801600 is about 59125.3042275471. The cubic root of 3495801600 is about 1517.6871565987.

The spelling of 3495801600 in words is "three billion, four hundred ninety-five million, eight hundred one thousand, six hundred".