3540297600 has 576 divisors, whose sum is σ = 15301297440. Its totient is φ = 760872960.

The previous prime is 3540297599. The next prime is 3540297601. The reversal of 3540297600 is 67920453.

3540297600 is a `hidden beast` number, since 3 + 5 + 40 + 2 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3540297599) and next prime (3540297601).

It is a tau number, because it is divible by the number of its divisors (576).

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 (3540297601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3426684 + ... + 3427716.

Almost surely, 2^3540297600 is an apocalyptic number.

3540297600 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 3540297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650648720).

3540297600 is an abundant number, since it is smaller than the sum of its proper divisors (11760999840).

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

3540297600 is a wasteful number, since it uses less digits than its factorization.

3540297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3540297600 is about 59500.3999986555. The cubic root of 3540297600 is about 1524.0992763980.

The spelling of 3540297600 in words is "three billion, five hundred forty million, two hundred ninety-seven thousand, six hundred".