3496299840 has 504 divisors, whose sum is σ = 13491179520. Its totient is φ = 830269440.

The previous prime is 3496299823. The next prime is 3496299847. The reversal of 3496299840 is 489926943.

3496299840 is a `hidden beast` number, since 3 + 4 + 9 + 629 + 9 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×3496299840² = 24448225142368051200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496299847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27529857 + ... + 27529983.

Almost surely, 2^3496299840 is an apocalyptic number.

3496299840 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 3496299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745589760).

3496299840 is an abundant number, since it is smaller than the sum of its proper divisors (9994879680).

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

3496299840 is a wasteful number, since it uses less digits than its factorization.

3496299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3496299840 is about 59129.5175018366. The cubic root of 3496299840 is about 1517.7592560877.

The spelling of 3496299840 in words is "three billion, four hundred ninety-six million, two hundred ninety-nine thousand, eight hundred forty".