3416750400 has 504 divisors, whose sum is σ = 13285012800. Its totient is φ = 766402560.

The previous prime is 3416750387. The next prime is 3416750443. The reversal of 3416750400 is 40576143.

3416750400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 17169501 + ... + 17169699.

Almost surely, 2^3416750400 is an apocalyptic number.

3416750400 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 3416750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642506400).

3416750400 is an abundant number, since it is smaller than the sum of its proper divisors (9868262400).

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

3416750400 is a wasteful number, since it uses less digits than its factorization.

3416750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3416750400 is about 58452.9759721436. The cubic root of 3416750400 is about 1506.1599134611.

The spelling of 3416750400 in words is "three billion, four hundred sixteen million, seven hundred fifty thousand, four hundred".