3490367760 has 400 divisors, whose sum is σ = 13806080640. Its totient is φ = 808980480.

The previous prime is 3490367753. The next prime is 3490367789. The reversal of 3490367760 is 677630943.

3490367760 is a `hidden beast` number, since 3 + 490 + 36 + 77 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1638376 + ... + 1640504.

Almost surely, 2^3490367760 is an apocalyptic number.

3490367760 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 3490367760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903040320).

3490367760 is an abundant number, since it is smaller than the sum of its proper divisors (10315712880).

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

3490367760 is a wasteful number, since it uses less digits than its factorization.

3490367760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3490367760 is about 59079.3344579981. The cubic root of 3490367760 is about 1516.9003894259.

The spelling of 3490367760 in words is "three billion, four hundred ninety million, three hundred sixty-seven thousand, seven hundred sixty".