3914909400 has 192 divisors, whose sum is σ = 12649190400. Its totient is φ = 1000512000.

The previous prime is 3914909309. The next prime is 3914909459. The reversal of 3914909400 is 49094193.

3914909400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3914909400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2026435 + ... + 2028365.

It is an arithmetic number, because the mean of its divisors is an integer number (65881200).

Almost surely, 2^3914909400 is an apocalyptic number.

3914909400 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 3914909400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324595200).

3914909400 is an abundant number, since it is smaller than the sum of its proper divisors (8734281000).

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

3914909400 is a wasteful number, since it uses less digits than its factorization.

3914909400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 3914909400 is about 62569.2368500687. The cubic root of 3914909400 is about 1576.0642039258.

The spelling of 3914909400 in words is "three billion, nine hundred fourteen million, nine hundred nine thousand, four hundred".