3352739040 has 576 divisors, whose sum is σ = 13807632384. Its totient is φ = 752467968.

The previous prime is 3352739029. The next prime is 3352739059. The reversal of 3352739040 is 409372533.

3352739040 is a `hidden beast` number, since 3 + 3 + 527 + 3 + 90 + 40 = 666.

It is a super-2 number, since 2×3352739040² = 22481718140680243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3352738986 and 3352739004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26399457 + ... + 26399583.

It is an arithmetic number, because the mean of its divisors is an integer number (23971584).

Almost surely, 2^3352739040 is an apocalyptic number.

3352739040 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 3352739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903816192).

3352739040 is an abundant number, since it is smaller than the sum of its proper divisors (10454893344).

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

3352739040 is a wasteful number, since it uses less digits than its factorization.

3352739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3352739040 is about 57902.8413810583. The cubic root of 3352739040 is about 1496.6948024620.

The spelling of 3352739040 in words is "three billion, three hundred fifty-two million, seven hundred thirty-nine thousand, forty".