3499416000 has 448 divisors, whose sum is σ = 13608466560. Its totient is φ = 877363200.

The previous prime is 3499415999. The next prime is 3499416013. The reversal of 3499416000 is 6149943.

3499416000 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 41 + 600 + 0 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3671524 + ... + 3672476.

Almost surely, 2^3499416000 is an apocalyptic number.

3499416000 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 3499416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804233280).

3499416000 is an abundant number, since it is smaller than the sum of its proper divisors (10109050560).

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

3499416000 is a wasteful number, since it uses less digits than its factorization.

3499416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3499416000 is about 59155.8619242421. The cubic root of 3499416000 is about 1518.2100351473.

The spelling of 3499416000 in words is "three billion, four hundred ninety-nine million, four hundred sixteen thousand".