3487536000 has 896 divisors, whose sum is σ = 14609125440. Its totient is φ = 821145600.

The previous prime is 3487535999. The next prime is 3487536007. The reversal of 3487536000 is 6357843.

It is a happy number.

3487536000 is a `hidden beast` number, since 3 + 48 + 7 + 5 + 3 + 600 + 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 (3487536007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 151631989 + ... + 151632011.

Almost surely, 2^3487536000 is an apocalyptic number.

3487536000 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 3487536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304562720).

3487536000 is an abundant number, since it is smaller than the sum of its proper divisors (11121589440).

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

3487536000 is an equidigital number, since it uses as much as digits as its factorization.

3487536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

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

The square root of 3487536000 is about 59055.3638546068. The cubic root of 3487536000 is about 1516.4900544391.

The spelling of 3487536000 in words is "three billion, four hundred eighty-seven million, five hundred thirty-six thousand".