3035750400 has 504 divisors, whose sum is σ = 11461677864. Its totient is φ = 796262400.

The previous prime is 3035750387. The next prime is 3035750429. The reversal of 3035750400 is 40575303.

It is a happy number.

It is a super-2 number, since 2×3035750400² = 18431560982200320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49766370 + ... + 49766430.

Almost surely, 2^3035750400 is an apocalyptic number.

3035750400 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 3035750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730838932).

3035750400 is an abundant number, since it is smaller than the sum of its proper divisors (8425927464).

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

3035750400 is an frugal number, since it uses more digits than its factorization.

3035750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3035750400 is about 55097.6442327619. The cubic root of 3035750400 is about 1447.9559625609.

The spelling of 3035750400 in words is "three billion, thirty-five million, seven hundred fifty thousand, four hundred".