3326279040 has 512 divisors, whose sum is σ = 13642214400. Its totient is φ = 750256128.

The previous prime is 3326278987. The next prime is 3326279053. The reversal of 3326279040 is 409726233.

It is a happy number.

It is a super-2 number, since 2×3326279040² = 22128264503886643200, 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 = 3326278986 and 3326279004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12942592 + ... + 12942848.

It is an arithmetic number, because the mean of its divisors is an integer number (26644950).

Almost surely, 2^3326279040 is an apocalyptic number.

3326279040 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 3326279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6821107200).

3326279040 is an abundant number, since it is smaller than the sum of its proper divisors (10315935360).

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

3326279040 is a wasteful number, since it uses less digits than its factorization.

3326279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3326279040 is about 57673.9025903398. The cubic root of 3326279040 is about 1492.7470664950.

The spelling of 3326279040 in words is "three billion, three hundred twenty-six million, two hundred seventy-nine thousand, forty".