3540947520 has 448 divisors, whose sum is σ = 13062021120. Its totient is φ = 804249600.

The previous prime is 3540947507. The next prime is 3540947539. The reversal of 3540947520 is 257490453.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14815561 + ... + 14815799.

Almost surely, 2^3540947520 is an apocalyptic number.

3540947520 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 3540947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531010560).

3540947520 is an abundant number, since it is smaller than the sum of its proper divisors (9521073600).

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

3540947520 is a wasteful number, since it uses less digits than its factorization.

3540947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 3540947520 is about 59505.8612239164. The cubic root of 3540947520 is about 1524.1925342825.

The spelling of 3540947520 in words is "three billion, five hundred forty million, nine hundred forty-seven thousand, five hundred twenty".