3497472000 has 832 divisors, whose sum is σ = 14720209920. Its totient is φ = 811008000.

The previous prime is 3497471993. The next prime is 3497472001. The reversal of 3497472000 is 2747943.

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

It is not an unprimeable number, because it can be changed into a prime (3497472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063989 + ... + 152064011.

It is an arithmetic number, because the mean of its divisors is an integer number (17692560).

Almost surely, 2^3497472000 is an apocalyptic number.

3497472000 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 3497472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360104960).

3497472000 is an abundant number, since it is smaller than the sum of its proper divisors (11222737920).

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

3497472000 is a wasteful number, since it uses less digits than its factorization.

3497472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3497472000 is about 59139.4284720439. The cubic root of 3497472000 is about 1517.9288504202.

The spelling of 3497472000 in words is "three billion, four hundred ninety-seven million, four hundred seventy-two thousand".