3338778480 has 160 divisors (see below), whose sum is σ = 10613320704. Its totient is φ = 867867648.

The previous prime is 3338778449. The next prime is 3338778481. The reversal of 3338778480 is 848778333.

It is a super-2 number, since 2×3338778480² = 22294883477022220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338778481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3913734 + ... + 3914586.

Almost surely, 2^3338778480 is an apocalyptic number.

3338778480 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 3338778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306660352).

3338778480 is an abundant number, since it is smaller than the sum of its proper divisors (7274542224).

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

3338778480 is a wasteful number, since it uses less digits than its factorization.

3338778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 3338778480 is about 57782.1640300880. The cubic root of 3338778480 is about 1494.6145365513.

The spelling of 3338778480 in words is "three billion, three hundred thirty-eight million, seven hundred seventy-eight thousand, four hundred eighty".