3433820040 has 480 divisors, whose sum is σ = 13765308480. Its totient is φ = 765096192.

The previous prime is 3433820003. The next prime is 3433820041. The reversal of 3433820040 is 400283343.

It is a super-2 number, since 2×3433820040² = 23582240134211203200, 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 = 3433819986 and 3433820013.

It is not an unprimeable number, because it can be changed into a prime (3433820041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6826429 + ... + 6826931.

It is an arithmetic number, because the mean of its divisors is an integer number (28677726).

Almost surely, 2^3433820040 is an apocalyptic number.

3433820040 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 3433820040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882654240).

3433820040 is an abundant number, since it is smaller than the sum of its proper divisors (10331488440).

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

3433820040 is a wasteful number, since it uses less digits than its factorization.

3433820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3433820040 is about 58598.8057898794. The cubic root of 3433820040 is about 1508.6639410688.

The spelling of 3433820040 in words is "three billion, four hundred thirty-three million, eight hundred twenty thousand, forty".