3531461472 has 432 divisors, whose sum is σ = 13050326016. Its totient is φ = 885772800.

The previous prime is 3531461431. The next prime is 3531461501. The reversal of 3531461472 is 2741641353.

3531461472 is a `hidden beast` number, since 3 + 5 + 31 + 4 + 614 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7561783 + ... + 7562249.

It is an arithmetic number, because the mean of its divisors is an integer number (30209088).

Almost surely, 2^3531461472 is an apocalyptic number.

3531461472 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 3531461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525163008).

3531461472 is an abundant number, since it is smaller than the sum of its proper divisors (9518864544).

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

3531461472 is a wasteful number, since it uses less digits than its factorization.

3531461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 521 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3531461472 is about 59426.1009321662. The cubic root of 3531461472 is about 1522.8302346906.

The spelling of 3531461472 in words is "three billion, five hundred thirty-one million, four hundred sixty-one thousand, four hundred seventy-two".