3416207040 has 168 divisors, whose sum is σ = 12068281680. Its totient is φ = 886339584.

The previous prime is 3416207029. The next prime is 3416207051. The reversal of 3416207040 is 407026143.

3416207040 = T₃₇₁ + T₃₇₂ + ... + T₂₇₃₈.

3416207040 is a `hidden beast` number, since 3 + 416 + 207 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3416207029) and next prime (3416207051).

It is a junction number, because it is equal to n+sod(n) for n = 3416206995 and 3416207013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90531 + ... + 122589.

It is an arithmetic number, because the mean of its divisors is an integer number (71835010).

Almost surely, 2^3416207040 is an apocalyptic number.

3416207040 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 3416207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034140840).

3416207040 is an abundant number, since it is smaller than the sum of its proper divisors (8652074640).

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

3416207040 is a wasteful number, since it uses less digits than its factorization.

3416207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32119 (or 32106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3416207040 is about 58448.3279487104. The cubic root of 3416207040 is about 1506.0800685460.

The spelling of 3416207040 in words is "three billion, four hundred sixteen million, two hundred seven thousand, forty".