3356724840 has 128 divisors (see below), whose sum is σ = 11550539520. Its totient is φ = 764467200.

The previous prime is 3356724769. The next prime is 3356724881. The reversal of 3356724840 is 484276533.

It is a super-2 number, since 2×3356724840² = 22535203302946051200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3356724792 and 3356724801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228930 + ... + 243150.

It is an arithmetic number, because the mean of its divisors is an integer number (90238590).

Almost surely, 2^3356724840 is an apocalyptic number.

3356724840 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 3356724840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775269760).

3356724840 is an abundant number, since it is smaller than the sum of its proper divisors (8193814680).

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

3356724840 is a wasteful number, since it uses less digits than its factorization.

3356724840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14523 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3356724840 is about 57937.2491580330. The cubic root of 3356724840 is about 1497.2876673461.

The spelling of 3356724840 in words is "three billion, three hundred fifty-six million, seven hundred twenty-four thousand, eight hundred forty".