3572628480 has 528 divisors, whose sum is σ = 13304648448. Its totient is φ = 884736000.

The previous prime is 3572628473. The next prime is 3572628487. The reversal of 3572628480 is 848262753.

It is an interprime number because it is at equal distance from previous prime (3572628473) and next prime (3572628487).

It is a super-2 number, since 2×3572628480² = 25527348512214220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3572628487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58567650 + ... + 58567710.

Almost surely, 2^3572628480 is an apocalyptic number.

3572628480 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 3572628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652324224).

3572628480 is an abundant number, since it is smaller than the sum of its proper divisors (9732019968).

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

3572628480 is a wasteful number, since it uses less digits than its factorization.

3572628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3572628480 is about 59771.4687790086. The cubic root of 3572628480 is about 1528.7247094500.

The spelling of 3572628480 in words is "three billion, five hundred seventy-two million, six hundred twenty-eight thousand, four hundred eighty".