3407654016 has 256 divisors, whose sum is σ = 10989888000. Its totient is φ = 1033150464.

The previous prime is 3407653993. The next prime is 3407654023. The reversal of 3407654016 is 6104567043.

It is a happy number.

3407654016 is a `hidden beast` number, since 3 + 40 + 76 + 540 + 1 + 6 = 666.

It is a super-2 number, since 2×3407654016² = 23224211785521856512, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3279225 + ... + 3280263.

It is an arithmetic number, because the mean of its divisors is an integer number (42929250).

Almost surely, 2^3407654016 is an apocalyptic number.

3407654016 is a gapful number since it is divisible by the number (36) 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 3407654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494944000).

3407654016 is an abundant number, since it is smaller than the sum of its proper divisors (7582233984).

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

3407654016 is a wasteful number, since it uses less digits than its factorization.

3407654016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3407654016 is about 58375.1146979601. The cubic root of 3407654016 is about 1504.8221135359.

The spelling of 3407654016 in words is "three billion, four hundred seven million, six hundred fifty-four thousand, sixteen".