3499676624640 has 2304 divisors, whose sum is σ = 14567041843200. Its totient is φ = 698290274304.

The previous prime is 3499676624579. The next prime is 3499676624663. The reversal of 3499676624640 is 464266769943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47940775644 + ... + 47940775716.

It is an arithmetic number, because the mean of its divisors is an integer number (6322500800).

Almost surely, 2^{3499676624640} is an apocalyptic number.

3499676624640 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 3499676624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283520921600).

3499676624640 is an abundant number, since it is smaller than the sum of its proper divisors (11067365218560).

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

3499676624640 is a wasteful number, since it uses less digits than its factorization.

3499676624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 66.

The spelling of 3499676624640 in words is "three trillion, four hundred ninety-nine billion, six hundred seventy-six million, six hundred twenty-four thousand, six hundred forty".