3523968000 has 1056 divisors, whose sum is σ = 15941053440. Its totient is φ = 729907200.

The previous prime is 3523967957. The next prime is 3523968011. The reversal of 3523968000 is 8693253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153215989 + ... + 153216011.

Almost surely, 2^3523968000 is an apocalyptic number.

3523968000 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 3523968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970526720).

3523968000 is an abundant number, since it is smaller than the sum of its proper divisors (12417085440).

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

3523968000 is a wasteful number, since it uses less digits than its factorization.

3523968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3523968000 is about 59363.0187911632. The cubic root of 3523968000 is about 1521.7523649367.

The spelling of 3523968000 in words is "three billion, five hundred twenty-three million, nine hundred sixty-eight thousand".