3603534480 has 840 divisors, whose sum is σ = 15898716792. Its totient is φ = 752467968.

The previous prime is 3603534463. The next prime is 3603534481. The reversal of 3603534480 is 844353063.

3603534480 is a `hidden beast` number, since 3 + 603 + 5 + 3 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 3566956176 = 6048^2 + 59724^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 (3603534481) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37149792 + ... + 37149888.

Almost surely, 2^3603534480 is an apocalyptic number.

3603534480 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 3603534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949358396).

3603534480 is an abundant number, since it is smaller than the sum of its proper divisors (12295182312).

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

3603534480 is a wasteful number, since it uses less digits than its factorization.

3603534480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3603534480 is about 60029.4467740625. The cubic root of 3603534480 is about 1533.1202757949.

The spelling of 3603534480 in words is "three billion, six hundred three million, five hundred thirty-four thousand, four hundred eighty".