3401782272 has 528 divisors, whose sum is σ = 12246627840. Its totient is φ = 940584960.

The previous prime is 3401782247. The next prime is 3401782327. The reversal of 3401782272 is 2722871043.

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

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, 109734897 + ... + 109734927.

Almost surely, 2^3401782272 is an apocalyptic number.

3401782272 is a gapful number since it is divisible by the number (32) 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 3401782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123313920).

3401782272 is an abundant number, since it is smaller than the sum of its proper divisors (8844845568).

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

3401782272 is an frugal number, since it uses more digits than its factorization.

3401782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3401782272 is about 58324.7998024854. The cubic root of 3401782272 is about 1503.9572946981.

The spelling of 3401782272 in words is "three billion, four hundred one million, seven hundred eighty-two thousand, two hundred seventy-two".