3507402272 has 96 divisors (see below), whose sum is σ = 7847570304. Its totient is φ = 1528934400.

The previous prime is 3507402259. The next prime is 3507402281. The reversal of 3507402272 is 2722047053.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922808 + ... + 926600.

It is an arithmetic number, because the mean of its divisors is an integer number (81745524).

Almost surely, 2^3507402272 is an apocalyptic number.

3507402272 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 3507402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923785152).

3507402272 is an abundant number, since it is smaller than the sum of its proper divisors (4340168032).

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

3507402272 is a wasteful number, since it uses less digits than its factorization.

3507402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 3507402272 is about 59223.3254047761. The cubic root of 3507402272 is about 1519.3640968833.

The spelling of 3507402272 in words is "three billion, five hundred seven million, four hundred two thousand, two hundred seventy-two".