3480214752 has 288 divisors, whose sum is σ = 11774730240. Its totient is φ = 954132480.

The previous prime is 3480214741. The next prime is 3480214753. The reversal of 3480214752 is 2574120843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3480214752² = 24223789440076843008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480214753) 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, 14561449 + ... + 14561687.

It is an arithmetic number, because the mean of its divisors is an integer number (40884480).

Almost surely, 2^3480214752 is an apocalyptic number.

3480214752 is a gapful number since it is divisible by the number (32) 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 3480214752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887365120).

3480214752 is an abundant number, since it is smaller than the sum of its proper divisors (8294515488).

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

3480214752 is a wasteful number, since it uses less digits than its factorization.

3480214752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3480214752 is about 58993.3449805993. The cubic root of 3480214752 is about 1515.4281415837.

The spelling of 3480214752 in words is "three billion, four hundred eighty million, two hundred fourteen thousand, seven hundred fifty-two".