3561492480 has 624 divisors, whose sum is σ = 14389948800. Its totient is φ = 751435776.

The previous prime is 3561492439. The next prime is 3561492521. The reversal of 3561492480 is 842941653.

It is an interprime number because it is at equal distance from previous prime (3561492439) and next prime (3561492521).

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273960954 + ... + 273960966.

Almost surely, 2^3561492480 is an apocalyptic number.

3561492480 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 3561492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194974400).

3561492480 is an abundant number, since it is smaller than the sum of its proper divisors (10828456320).

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

3561492480 is an equidigital number, since it uses as much as digits as its factorization.

3561492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3561492480 is about 59678.2412609487. The cubic root of 3561492480 is about 1527.1346945959.

The spelling of 3561492480 in words is "three billion, five hundred sixty-one million, four hundred ninety-two thousand, four hundred eighty".