3497432400 has 1080 divisors, whose sum is σ = 16163743232. Its totient is φ = 684288000.

The previous prime is 3497432387. The next prime is 3497432401. The reversal of 3497432400 is 42347943.

3497432400 is a `hidden beast` number, since 349 + 74 + 3 + 240 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3497432401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 94525182 + ... + 94525218.

Almost surely, 2^3497432400 is an apocalyptic number.

3497432400 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 3497432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081871616).

3497432400 is an abundant number, since it is smaller than the sum of its proper divisors (12666310832).

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

3497432400 is a wasteful number, since it uses less digits than its factorization.

3497432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3497432400 is about 59139.0936690782. The cubic root of 3497432400 is about 1517.9231215004.

The spelling of 3497432400 in words is "three billion, four hundred ninety-seven million, four hundred thirty-two thousand, four hundred".