3353417040 has 80 divisors (see below), whose sum is σ = 10403352000. Its totient is φ = 893577216.

The previous prime is 3353417003. The next prime is 3353417057. The reversal of 3353417040 is 407143533.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3353417040² = 22490811688324723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3353416989 and 3353417007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374536 + ... + 383384.

It is an arithmetic number, because the mean of its divisors is an integer number (130041900).

Almost surely, 2^3353417040 is an apocalyptic number.

3353417040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3353417040 is an abundant number, since it is smaller than the sum of its proper divisors (7049934960).

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

3353417040 is a wasteful number, since it uses less digits than its factorization.

3353417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10444 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3353417040 is about 57908.6957200730. The cubic root of 3353417040 is about 1496.7956842256.

The spelling of 3353417040 in words is "three billion, three hundred fifty-three million, four hundred seventeen thousand, forty".