3334514040 has 384 divisors, whose sum is σ = 13208832000. Its totient is φ = 745873920.

The previous prime is 3334514017. The next prime is 3334514119. The reversal of 3334514040 is 404154333.

It is a super-2 number, since 2×3334514040² = 22237967765914243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3334513995 and 3334514013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1388761 + ... + 1391159.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^3334514040 is an apocalyptic number.

3334514040 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 3334514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416000).

3334514040 is an abundant number, since it is smaller than the sum of its proper divisors (9874317960).

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

3334514040 is a wasteful number, since it uses less digits than its factorization.

3334514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3334514040 is about 57745.2512333265. The cubic root of 3334514040 is about 1493.9779355139.

Adding to 3334514040 its reverse (404154333), we get a palindrome (3738668373).

The spelling of 3334514040 in words is "three billion, three hundred thirty-four million, five hundred fourteen thousand, forty".