4314377088 has 384 divisors, whose sum is σ = 15058260000. Its totient is φ = 1212309504.

The previous prime is 4314377087. The next prime is 4314377107. The reversal of 4314377088 is 8807734134.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4314377088² = 37227699314918719488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314377087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12361938 + ... + 12362286.

Almost surely, 2^4314377088 is an apocalyptic number.

4314377088 is a gapful number since it is divisible by the number (48) 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 4314377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529130000).

4314377088 is an abundant number, since it is smaller than the sum of its proper divisors (10743882912).

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

4314377088 is a wasteful number, since it uses less digits than its factorization.

4314377088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4314377088 is about 65683.9180317374. The cubic root of 4314377088 is about 1627.9436459635.

The spelling of 4314377088 in words is "four billion, three hundred fourteen million, three hundred seventy-seven thousand, eighty-eight".