3490096896 has 540 divisors, whose sum is σ = 12433966776. Its totient is φ = 967127040.

The previous prime is 3490096877. The next prime is 3490096919. The reversal of 3490096896 is 6986900943.

It is a happy number.

3490096896 is a `hidden beast` number, since 3 + 490 + 0 + 9 + 68 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32617675 + ... + 32617781.

Almost surely, 2^3490096896 is an apocalyptic number.

3490096896 is a gapful number since it is divisible by the number (36) 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 3490096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216983388).

3490096896 is an abundant number, since it is smaller than the sum of its proper divisors (8943869880).

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

3490096896 is a wasteful number, since it uses less digits than its factorization.

3490096896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3490096896 is about 59077.0420383418. The cubic root of 3490096896 is about 1516.8611495937.

The spelling of 3490096896 in words is "three billion, four hundred ninety million, ninety-six thousand, eight hundred ninety-six".