3496677120 has 576 divisors, whose sum is σ = 13351080960. Its totient is φ = 864534528.

The previous prime is 3496677089. The next prime is 3496677127. The reversal of 3496677120 is 217766943.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496677127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42128599 + ... + 42128681.

It is an arithmetic number, because the mean of its divisors is an integer number (23178960).

Almost surely, 2^3496677120 is an apocalyptic number.

3496677120 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 3496677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675540480).

3496677120 is an abundant number, since it is smaller than the sum of its proper divisors (9854403840).

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

3496677120 is a wasteful number, since it uses less digits than its factorization.

3496677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3496677120 is about 59132.7077005611. The cubic root of 3496677120 is about 1517.8138470975.

The spelling of 3496677120 in words is "three billion, four hundred ninety-six million, six hundred seventy-seven thousand, one hundred twenty".