35480979072 has 1536 divisors, whose sum is σ = 150029107200. Its totient is φ = 8028979200.

The previous prime is 35480979067. The next prime is 35480979077. The reversal of 35480979072 is 27097908453.

35480979072 is a `hidden beast` number, since 3 + 5 + 480 + 9 + 7 + 90 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (35480979067) and next prime (35480979077).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35480979077) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1144547697 + ... + 1144547727.

It is an arithmetic number, because the mean of its divisors is an integer number (97675200).

Almost surely, 2^35480979072 is an apocalyptic number.

35480979072 is a gapful number since it is divisible by the number (32) 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 35480979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75014553600).

35480979072 is an abundant number, since it is smaller than the sum of its proper divisors (114548128128).

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

35480979072 is a wasteful number, since it uses less digits than its factorization.

35480979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 35480979072 in words is "thirty-five billion, four hundred eighty million, nine hundred seventy-nine thousand, seventy-two".