3611197440 has 384 divisors, whose sum is σ = 13086028800. Its totient is φ = 920125440.

The previous prime is 3611197417. The next prime is 3611197451. The reversal of 3611197440 is 447911163.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 3611197395 and 3611197404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45711321 + ... + 45711399.

It is an arithmetic number, because the mean of its divisors is an integer number (34078200).

Almost surely, 2^3611197440 is an apocalyptic number.

3611197440 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 3611197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543014400).

3611197440 is an abundant number, since it is smaller than the sum of its proper divisors (9474831360).

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

3611197440 is an equidigital number, since it uses as much as digits as its factorization.

3611197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3611197440 is about 60093.2395532143. The cubic root of 3611197440 is about 1534.2062393720.

The spelling of 3611197440 in words is "three billion, six hundred eleven million, one hundred ninety-seven thousand, four hundred forty".