3411486720 has 336 divisors, whose sum is σ = 12299594580. Its totient is φ = 907739136.

The previous prime is 3411486647. The next prime is 3411486737. The reversal of 3411486720 is 276841143.

It can be written as a sum of positive squares in 2 ways, for example, as 3351020544 + 60466176 = 57888^2 + 7776^2 .

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 27 ways as a sum of consecutive naturals, for example, 7464732 + ... + 7465188.

Almost surely, 2^3411486720 is an apocalyptic number.

3411486720 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 3411486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149797290).

3411486720 is an abundant number, since it is smaller than the sum of its proper divisors (8888107860).

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

3411486720 is an frugal number, since it uses more digits than its factorization.

3411486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3411486720 is about 58407.9337076737. The cubic root of 3411486720 is about 1505.3860769686.

The spelling of 3411486720 in words is "three billion, four hundred eleven million, four hundred eighty-six thousand, seven hundred twenty".