3512750400 has 504 divisors, whose sum is σ = 13536350880. Its totient is φ = 860958720.

The previous prime is 3512750387. The next prime is 3512750413. The reversal of 3512750400 is 40572153.

It is a happy number.

3512750400 is a `hidden beast` number, since 35 + 127 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3512750387) and next prime (3512750413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10123027 + ... + 10123373.

Almost surely, 2^3512750400 is an apocalyptic number.

3512750400 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 3512750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768175440).

3512750400 is an abundant number, since it is smaller than the sum of its proper divisors (10023600480).

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

3512750400 is a wasteful number, since it uses less digits than its factorization.

3512750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3512750400 is about 59268.4604153001. The cubic root of 3512750400 is about 1520.1359527520.

The spelling of 3512750400 in words is "three billion, five hundred twelve million, seven hundred fifty thousand, four hundred".