338772420 has 144 divisors (see below), whose sum is σ = 1179534720. Its totient is φ = 77096448.

The previous prime is 338772409. The next prime is 338772437. The reversal of 338772420 is 24277833.

It is a super-2 number, since 2×338772420² = 229533505105312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 393951 + ... + 394809.

Almost surely, 2^338772420 is an apocalyptic number.

338772420 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 338772420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589767360).

338772420 is an abundant number, since it is smaller than the sum of its proper divisors (840762300).

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

338772420 is a wasteful number, since it uses less digits than its factorization.

338772420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 338772420 is about 18405.7713774783. The cubic root of 338772420 is about 697.1121981932.

The spelling of 338772420 in words is "three hundred thirty-eight million, seven hundred seventy-two thousand, four hundred twenty".