3338173440 has 528 divisors, whose sum is σ = 13488583680. Its totient is φ = 747601920.

The previous prime is 3338173439. The next prime is 3338173457. The reversal of 3338173440 is 443718333.

It is a super-2 number, since 2×3338173440² = 22286803831042867200, 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 = 3338173395 and 3338173404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25482175 + ... + 25482305.

It is an arithmetic number, because the mean of its divisors is an integer number (25546560).

Almost surely, 2^3338173440 is an apocalyptic number.

3338173440 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 3338173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744291840).

3338173440 is an abundant number, since it is smaller than the sum of its proper divisors (10150410240).

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

3338173440 is a wasteful number, since it uses less digits than its factorization.

3338173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3338173440 is about 57776.9282672591. The cubic root of 3338173440 is about 1494.5242484200.

The spelling of 3338173440 in words is "three billion, three hundred thirty-eight million, one hundred seventy-three thousand, four hundred forty".