3601428480 has 520 divisors, whose sum is σ = 13986558432. Its totient is φ = 881197056.

The previous prime is 3601428451. The next prime is 3601428487. The reversal of 3601428480 is 848241063.

3601428480 = 187³ + 188³ + ... + 353³.

3601428480 is a `hidden beast` number, since 3 + 601 + 4 + 2 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (520).

It is a super-2 number, since 2×3601428480² = 25940574193110220800, which contains 22 as substring.

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 (3601428487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565357 + ... + 21565523.

Almost surely, 2^3601428480 is an apocalyptic number.

3601428480 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 3601428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993279216).

3601428480 is an abundant number, since it is smaller than the sum of its proper divisors (10385129952).

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

3601428480 is a wasteful number, since it uses less digits than its factorization.

3601428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3601428480 is about 60011.9028193574. The cubic root of 3601428480 is about 1532.8215523692.

The spelling of 3601428480 in words is "three billion, six hundred one million, four hundred twenty-eight thousand, four hundred eighty".