3353291009640 has 1152 divisors, whose sum is σ = 13571084217600. Its totient is φ = 739578470400.

The previous prime is 3353291009587. The next prime is 3353291009683. The reversal of 3353291009640 is 469001923533.

3353291009640 is a `hidden beast` number, since 3 + 3 + 532 + 9 + 100 + 9 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3353291009640² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1085557216 + ... + 1085560304.

It is an arithmetic number, because the mean of its divisors is an integer number (11780455050).

Almost surely, 2^{3353291009640} is an apocalyptic number.

3353291009640 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 3353291009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785542108800).

3353291009640 is an abundant number, since it is smaller than the sum of its proper divisors (10217793207960).

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

3353291009640 is a wasteful number, since it uses less digits than its factorization.

3353291009640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 3353291009640 in words is "three trillion, three hundred fifty-three billion, two hundred ninety-one million, nine thousand, six hundred forty".