3499329600 has 840 divisors, whose sum is σ = 14512348928. Its totient is φ = 821145600.

The previous prime is 3499329593. The next prime is 3499329619. The reversal of 3499329600 is 69239943.

3499329600 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 32 + 9 + 600 = 666.

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 119 ways as a sum of consecutive naturals, for example, 52228767 + ... + 52228833.

Almost surely, 2^3499329600 is an apocalyptic number.

3499329600 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 3499329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256174464).

3499329600 is an abundant number, since it is smaller than the sum of its proper divisors (11013019328).

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

3499329600 is a wasteful number, since it uses less digits than its factorization.

3499329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3499329600 is about 59155.1316455301. The cubic root of 3499329600 is about 1518.1975402599.

The spelling of 3499329600 in words is "three billion, four hundred ninety-nine million, three hundred twenty-nine thousand, six hundred".