1684772352 has 320 divisors, whose sum is σ = 5409296640. Its totient is φ = 515801088.

The previous prime is 1684772291. The next prime is 1684772357. The reversal of 1684772352 is 2532774861.

It is a super-2 number, since 2×1684772352² = 5676915756127223808, which contains 22 as substring.

Its product of digits (564480) is a multiple of the sum of its prime divisors (196).

It is a junction number, because it is equal to n+sod(n) for n = 1684772298 and 1684772307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684772357) 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, 15745483 + ... + 15745589.

It is an arithmetic number, because the mean of its divisors is an integer number (16904052).

Almost surely, 2^1684772352 is an apocalyptic number.

1684772352 is a gapful number since it is divisible by the number (12) 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 1684772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704648320).

1684772352 is an abundant number, since it is smaller than the sum of its proper divisors (3724524288).

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

1684772352 is a wasteful number, since it uses less digits than its factorization.

1684772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1684772352 is about 41045.9785119078. The cubic root of 1684772352 is about 1189.9089806334.

The spelling of 1684772352 in words is "one billion, six hundred eighty-four million, seven hundred seventy-two thousand, three hundred fifty-two".