3450824832 has 512 divisors, whose sum is σ = 12346145280. Its totient is φ = 828112896.

The previous prime is 3450824827. The next prime is 3450824851. The reversal of 3450824832 is 2384280543.

It is a super-2 number, since 2×3450824832² = 23816384042295656448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21979698 + ... + 21979854.

It is an arithmetic number, because the mean of its divisors is an integer number (24113565).

Almost surely, 2^3450824832 is an apocalyptic number.

3450824832 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 3450824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173072640).

3450824832 is an abundant number, since it is smaller than the sum of its proper divisors (8895320448).

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

3450824832 is a wasteful number, since it uses less digits than its factorization.

3450824832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 3450824832 is about 58743.7216389973. The cubic root of 3450824832 is about 1511.1502181600.

It can be divided in two parts, 34508 and 24832, that added together give a triangular number (59340 = T₃₄₄).

The spelling of 3450824832 in words is "three billion, four hundred fifty million, eight hundred twenty-four thousand, eight hundred thirty-two".