3502096416 has 432 divisors, whose sum is σ = 12997333440. Its totient is φ = 873400320.

The previous prime is 3502096391. The next prime is 3502096427. The reversal of 3502096416 is 6146902053.

It is a happy number.

3502096416 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 0 + 9 + 641 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6473106 + ... + 6473646.

It is an arithmetic number, because the mean of its divisors is an integer number (30086420).

Almost surely, 2^3502096416 is an apocalyptic number.

3502096416 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 3502096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498666720).

3502096416 is an abundant number, since it is smaller than the sum of its proper divisors (9495237024).

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

3502096416 is a wasteful number, since it uses less digits than its factorization.

3502096416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3502096416 is about 59178.5131276547. The cubic root of 3502096416 is about 1518.5975660860.

Adding to 3502096416 its reverse (6146902053), we get a palindrome (9648998469).

The spelling of 3502096416 in words is "three billion, five hundred two million, ninety-six thousand, four hundred sixteen".