3561046272 has 216 divisors, whose sum is σ = 12352791360. Its totient is φ = 963809280.

The previous prime is 3561046261. The next prime is 3561046283. The reversal of 3561046272 is 2726401653.

3561046272 is a `hidden beast` number, since 35 + 610 + 4 + 6 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3561046261) and next prime (3561046283).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300622 + ... + 312242.

Almost surely, 2^3561046272 is an apocalyptic number.

3561046272 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 3561046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176395680).

3561046272 is an abundant number, since it is smaller than the sum of its proper divisors (8791745088).

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

3561046272 is a wasteful number, since it uses less digits than its factorization.

3561046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11652 counting only the distinct ones).

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

The square root of 3561046272 is about 59674.5026958751. The cubic root of 3561046272 is about 1527.0709153253.

The spelling of 3561046272 in words is "three billion, five hundred sixty-one million, forty-six thousand, two hundred seventy-two".