3377283840 has 648 divisors, whose sum is σ = 14103992448. Its totient is φ = 743178240.

The previous prime is 3377283829. The next prime is 3377283851. The reversal of 3377283840 is 483827733.

It is an interprime number because it is at equal distance from previous prime (3377283829) and next prime (3377283851).

It is a super-2 number, since 2×3377283840² = 22812092271850291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17498784 + ... + 17498976.

Almost surely, 2^3377283840 is an apocalyptic number.

3377283840 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 3377283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051996224).

3377283840 is an abundant number, since it is smaller than the sum of its proper divisors (10726708608).

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

3377283840 is a wasteful number, since it uses less digits than its factorization.

3377283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3377283840 is about 58114.4030340156. The cubic root of 3377283840 is about 1500.3382703764.

The spelling of 3377283840 in words is "three billion, three hundred seventy-seven million, two hundred eighty-three thousand, eight hundred forty".